The work done by a variable force can be found by dividing the:
Correct answer: B. The displacement into small intervals
- A. Force into small intervals
- B. The displacement into small intervals
- C. Both force and displacement into small intervals
- D. By taking displacements at different angles
Explanation
The work done by a variable force is calculated by integrating the force over the displacement. This means that to find the total work, you consider the force acting over small intervals of displacement, as the force may change throughout that distance. The correct answer is Option B, The displacement into small intervals, as it emphasizes the need to account for the variable nature of the force in relation to the distance moved.Option A is incorrect because it neglects the displacement aspect, focusing solely on force. Option C is misleading because it implies a simple multiplication of both factors without addressing the integration needed for variable forces. Option D is incorrect as it does not relate to the calculation of work, which is not determined by angles but by the relationship between force and displacementIn Official UHS 2023 paper, option B was makred as correct. Therefore, we will retain option B here to maintain alingment with the original key for authethicity.
This question appeared on the UHS MDCAT 2023 paper, which you can sit online with every answer explained.
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About Work
Work is done when a force produces displacement, with its value determined by the component of force along the displacement. The topic covers positive, negative and zero work, work by variable forces from force-displacement graphs, and the connection between net work and change in kinetic energy.
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